We have nominated some contenders, but this is just to get the discussion going: we would like your suggestions so that we can compile the best into final polls that you can vote on. The polls will be published at midday on Tuesday 13 May, so please tell us what you think. Thanks

Arsenal 1-1 Everton

Four days after showing up David Moyes by beating Manchester United at Old Trafford, Everton provided another indication of their growing fearlessness under Roberto Martínez with an impressive draw at high-flying Arsenal. With James McCarthy and Gareth Barry delivering a masterclass in controlled midfield dominance, Everton were not daunted about going toe to toe with the league leaders, passing the ball crisply and pressing their opponents feverishly, while Ross Barkley's performance prompted Martínez to compare him to Paul Gascoigne. Arsenal had to be resilient to keep Everton at bay yet they played their part in an absorbing, high-class contest and when Mesut Özil gave them the lead in the 80th minute, they were set to move seven points clear. Yet they were pegged back four minutes later, Gerard Deulofeu stylishly beating Wojciech Szczesny with a whipped shot, and Arsenal were left to reflect on what might have been. Story of their season.

Everton 3-3 Liverpool

It would be easy to be a killjoy and focus on the diabolical state of the defending but instead let's remember that when the final whistle brought an end to a match in which all rhyme, reason and tactics were thrown out the window, the only thing left to do was shake your head and laugh at the sheer stupidity of football. This was one of the greatest Merseyside derbies of all time and while it may be hyperbolic to say that, the final score could have been anything.

Liverpool took an early lead through Philippe Coutinho but Kevin Mirallas immediately hit back, before Luis Suárez scored a preposterous free-kick. All inside 20 minutes. Both sides then wasted countless chances, with Joe Allen guilty of one of the misses of the season when he shot wide instead of teeing up Suárez, and it looked like Liverpool would regret that foolishness when Romelu Lukaku battered in two goals to make it 3-2 to Everton with eight minutes to go.

Goodison Park roared – and then fell silent when Daniel Sturridge headed in Liverpool's third in the 89th minute. Absurd. "Neither team can defend to save their lives," Scott Murray wrote in the Guardian's minute-by-minute report, "but who cares when they produce stunning entertainment like that?"

Liverpool 3-2 Manchester City

Crystal Palace 3-3 Liverpool

… but not quite as emotional as this. The league title was within touching distance for Liverpool with three games to go. Seven points and it was theirs for the first time since 1990. Easier said than done. First they failed to see Chelsea coming, losing 2-0, and then they somehow threw away a 3-0 lead against Crystal Palace in their penultimate match, Liverpool's defence crumbling and their world falling apart in 11 disastrous minutes in south London. Luis Suárez cried, Steven Gerrard pushed the camera away and City took control.

Manchester City 0-1 Chelsea

José Mourinho spent the season insisting that Chelsea were not title contenders – not poor, impoverished Chelsea! Imagine! – and he deserves credit for keeping up the pretence so long, especially after they became the first side to win at Manchester City in the league. City were heavy favourites until that point and their fans had become accustomed to seeing them humiliate visitors as a matter of course but Chelsea, muscular, robust and intelligent, had other ideas.

Mourinho took Manuel Pellegrini to tactics school, Gary Cahill and John Terry were immovable in defence, Nemanja Matic won his battle with Yaya Touré and Eden Hazard was the best attacking player on the pitch by a considerable distance, while City did not help themselves by asking the hopelessly overrun Martín Demichelis to deputise for Fernandinho. Branislav Ivanovic secured victory for Chelsea and it took City a while to recover.

Manchester City 2-1 Liverpool

Liverpool came into this Boxing Day fixture in first place but while they had been a delight to watch – going forward, anyway – no one was quite sure whether they were the real deal, or if a place in top-four would ultimately be the limit of their ambition. Here, then, was the most searching examination of their title credentials, a trip to the Etihad, and although Liverpool lost, they passed the authenticity test; everyone, including City's players, now knew that they were genuine challengers. Liverpool, who were without Steven Gerrard and Daniel Sturridge, led early on through Coutinho but were undone by the poor defending and goalkeeping that allowed Vincent Kompany and Alvaro Negredo to secure an edgy win for a relieved City.